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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="prob_1.html#NM3">SigmaField</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="prob_1.html#M3">Probability</a> of <font color="Maroon">c<sub>2</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font> be    <a href="prob_1.html#M2">Event</a> of <font color="Maroon">c<sub>2</sub></font>;<br/>









<b>assume </b><a NAME="E1:36"/>
<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font> <a href="prob_2.html#R1" target="_self">are_independent_respect_to</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/>

<a NAME="E2:36"/><b>then </b>
<font color="Maroon">c<sub>4</sub></font>,<span class="p1">(<span class="default"><a href="prob_1.html#K5">[#]</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="prob_1.html#K8">\</a> <font color="Maroon">c<sub>5</sub></font> <a href="prob_2.html#R1" target="_self">are_independent_respect_to</a> <font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="ref" href="prob_2.html#T37" target="_self">Th37</a></i>;<br/>
<a NAME="E3:36"/><b>then </b>
<span class="p1">(<span class="default"><a href="prob_1.html#K5">[#]</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="prob_1.html#K8">\</a> <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>4</sub></font> <a href="prob_2.html#R1" target="_self">are_independent_respect_to</a> <font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="ref" href="prob_2.html#T31" target="_self">Th31</a></i>;<br/>
<a NAME="E4:36"/><b>then </b>
<span class="p1">(<span class="default"><a href="prob_1.html#K5">[#]</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="prob_1.html#K8">\</a> <font color="Maroon">c<sub>5</sub></font>,<span class="p1">(<span class="default"><a href="prob_1.html#K5">[#]</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="prob_1.html#K8">\</a> <font color="Maroon">c<sub>4</sub></font> <a href="prob_2.html#R1" target="_self">are_independent_respect_to</a> <font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="ref" href="prob_2.html#T37" target="_self">Th37</a></i>;<br/>
<b>hence </b><a NAME="E5:36"/>
<span class="p1">(<span class="default"><a href="prob_1.html#K5">[#]</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="prob_1.html#K8">\</a> <font color="Maroon">c<sub>4</sub></font>,<span class="p1">(<span class="default"><a href="prob_1.html#K5">[#]</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="prob_1.html#K8">\</a> <font color="Maroon">c<sub>5</sub></font> <a href="prob_2.html#R1" target="_self">are_independent_respect_to</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="prob_2.html#T31" target="_self">Th31</a></i>;<br/>


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